Multiple choice

Phoebe, a personal trainer, is preparing several blends of varying juice concentrations to see which ratio her fitness club's clients prefer. She plans to make 240 oz each 80% juice, 60% juice, 50% juice, 40% juice, and 20% juice blends. If the 100% juice Phoebe plans to buy comes in 32 oz bottles and partial bottles cannot be bought, how may bottles will Phoebe need to make her blends?

  1. 8

  2. 18

  3. 19

  4. 60
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total juice needed: 240 * (0.8 + 0.6 + 0.5 + 0.4 + 0.2) = 240 * 2.5 = 600 oz. Each bottle is 32 oz. 600 / 32 = 18.75. Since partial bottles cannot be bought, she needs 19 bottles.

AI explanation

Calculate the total amount of pure juice needed for the blends by multiplying each volume by its concentration: 240 times 0.8 plus 240 times 0.6 plus 240 times 0.5 plus 240 times 0.4 plus 240 times 0.2. This gives 192 plus 144 plus 120 plus 96 plus 48 ounces, totaling 600 ounces of pure juice. Since each bottle holds 32 ounces and partial bottles cannot be bought, divide 600 by 32 to get 18.75. Rounding up to the nearest whole bottle means 19 bottles are needed.

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